55 citations · 77 across the 5 of their papers we have counts for
4 papers · 1 filter
Regularity for non-local almost minimal boundaries and applications
M. Cristina Caputo, Nestor Guillen
We introduce a notion of non-local almost minimal boundaries similar to that introduced by Almgren in geometric measure theory. Extending methods developed recently for non-local m…
On the evolution of convex hypersurfaces by the flow
M. Cristina Caputo, Panagiota Daskalopoulos, Natasa Sesum
We prove the existence and uniqueness of a solution of the flow in the viscosity sense for compact convex hypersurfaces embedded in () . I…
Global regularity of solutions to systems of reaction-diffusion with Sub-Quadratic Growth in any dimension
M. Cristina Caputo, Alexis Vasseur
This paper is devoted to the study of the regularity of solutions to some systems of reaction--diffusion equations, with reaction terms having a subquadratic growth. We show the gl…
Highly Degenerate Harmonic Mean Curvature Flow
M. Cristina Caputo, Panagiota Daskalopoulos
We study the evolution of a weakly convex surface in with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal…